Integrable interpolations: From exact CFTs to non-Abelian T-duals

Abstract

We derive two new classes of integrable theories interpolating between exact CFT WZW or gauged WZW models and non-Abelian T-duals of principal chiral models or geometric coset models. They are naturally constructed by gauging symmetries of integrable models. Our analysis implies that non-Abelian T-duality preserves integrability and suggests a novel way to understand the global properties of the corresponding backgrounds.

33 pages, Latex, V2: NPB version, minor changes and some references added, V3: typos below eq. (2.12) and in eq. (A.1) corrected

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